Prime p₀= 2079705537326828399 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: Landjunge
db: batch=80, k=10, 2 16 2 10 2

TPT(16)	2079704049214670141	0 2 18 20 30 32 90 92 126 128 168 170 198 200 258 260	-1488112158258
STPT(10)	2079704290111261127	0 2 30 32 72 74 114 116 144 146	-1247215567272
SPT(16)	2079704684188133309	0 2 24 32 42 48 90 102 170 182 224 230 240 248 270 272	-853138695090
SPT(16)	2079704750784921433	0 4 46 106 154 160 220 276 298 354 414 420 468 528 570 574	-786541906966
STPT(10)	2079704906095174991	0 2 6 8 48 50 90 92 96 98	-631231653408
SPT(16)	2079705272993240047	0 12 16 82 114 156 166 172 204 210 220 262 294 360 364 376	-264333588352
STPT(10)	2079705669751884917	0 2 30 32 42 44 54 56 84 86	132425056518
SPT(16)	2079705860404008233	0 24 36 116 126 140 146 174 176 204 210 224 234 314 326 350	323077179834
TPT(14)	2079706356236787767	0 2 54 56 60 62 102 104 222 224 462 464 474 476	818909959368
SPT(16)	2079706977609457297	0 12 30 54 66 76 82 150 226 294 300 310 322 346 364 376	1440282628898
STPT(10)	2079707486859275081	0 2 6 8 48 50 90 92 96 98	1949532446682